Brittney bought 13 peaches for $8.84. How much was each peach?

The h-sequence 1, 2, 4, 8, 16, ..., 2^k, known as the geometric sequence, is not suitable for Shell sort because it leads to a less efficient sorting algorithm in terms of time complexity.

Shell sort works by repeatedly dividing the input list into smaller sublists and sorting them independently using an insertion sort algorithm. The h-sequence determines the gap or interval between elements that are compared and swapped during each pass of the algorithm.

In the case of the geometric sequence, the gaps between elements in each pass of the algorithm are powers of 2. This can cause issues because when the gap is a power of 2, the elements being compared and swapped are not close to each other in the original list.

As a result, the geometric sequence h-sequence can lead to inefficient comparisons and swaps, especially in cases where the elements that need to be moved are far apart. This increases the number of necessary swaps and comparisons, making the algorithm less efficient.

To illustrate the worst-case scenario, let's consider an example:

Consider the input list [5, 4, 3, 2, 1] and use the h-sequence 1, 2, 4, 8, 16, ...

In the first pass, the gap is 16, and the elements being compared and swapped are 5 and 1. Since the elements are far apart, multiple swaps are required to move 1 to its correct position.

Next, in the second pass with a gap of 8, the elements being compared and swapped are 4 and 1, again requiring multiple swaps.

This process continues for each pass, with the gaps reducing, but the elements being compared and swapped are still far apart. This leads to a large number of comparisons and swaps, resulting in an inefficient sorting process.

Overall, the geometric sequence h-sequence leads to a worst-case scenario for Shell sort when the elements that need to be moved are far apart, resulting in increased time complexity and reduced efficiency of the sorting algorithm.

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Answer: 22

Step-by-step explanation:

I got it right on khan academy

Answer:

Step-by-step explanation:

The room is a rectangle. This means it has opposite sides with the same measure. So, two of the sides measure 14 ft 9 in, and the two other sides measure 13 ft.

Thus, the perimeter is the sum of the measures of all four sides:

Now, notice that we can also convert 18in to ft:

So, the perimeter of the dining room is 55.5 feet.

The remaining distance Jada has to bike is 19/10 km.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Jada biked for 3.5 kilometers before stopping to adjust the helmet.

d₁ = 3/5 kilometer

Jada bikes another 1/2 kilometer and stopped to drink water.

d₂ = 1/2 kilometer

The total distance Jada has to bike is 3 kilometers.

The distance traveled by Jada is:

= d₁ + d₂

= 3/5 km + 1/2 km

Using LCM,

= ( 6 + 5 ) / 10

= 11/10 km

The distance remaining to cover is :

- 3 km - 11/10 km

= ( 30 - 11 ) / 10 km

= 19/10 km

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Answer:

1. Mean : 85.6

2. Median : 90

3. Mode : 95

4. Range : 35

Step-by-step explanation:

1. For Mean, you add up all the terms and divide the resulting sum by the number of terms. In this case there were 9 terms that added up to 770, and when you divided that result by 9, the answer was 85.555 repeating. Since the question asks to round to the nearest tenth 85.6 represents the correct mean or average of the class.

2. To find the median, line up all the numbers in order from least to greatest. Like so :

60,75,75,90,90,95,95,95,95

In order to find the median, find the middle term. Since there are 9 terms, the middle term will be the fifth one. In this case, the answer was 90.

3. Mode represents the number that appears the most in a data set. Look at the 9 terms and find the one that appears the most. In this case it is 90.

4. Lastly, to find the range, subtract the lowest value in the data set from the highest one. 95 is the highest and 60 is the lowest. Do \(95-60\) and you will get an answer of 35.

Hope this helps!

Answer:

Mean: 85.6

Median: 90

Mode: 95

Range: 35

Step-by-step explanation:

Mean: Add up all the value and divide by the number of values you have.

75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90 = 770

770 / 9 = 85.6

Median: Rearrange in increasing order + look at middle number

60, 75, 75, 90, 90, 95, 95, 95, 95

Mode: Number that shows up the most.

95 shows up 4 times.

Range: Maximum - Minimum.

95 - 60 = 35.

The third-order Taylor polynomial for a function f with derivatives at x=0 is given by:
P_3(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3
P_3(x) = 5 - 3x + (8/2)x^2 + (24/6)x^3
P_3(0.4) = 5 - 3(0.4) + 4(0.4)^2 + 4(0.4)^3 ≈ 4.296
So, the approximation of f(0.4) using the third-order Taylor polynomial is approximately 4.296.

The partial sum containing the first n + 1 terms of the Taylor series is an n-order polynomial called the nth-order Taylor polynomial of the function. Taylor polynomials are generally approximate for functions that get better as n increases. Taylor's theorem provides a quantitative estimate of the resulting error using this approach. If the series of Taylor functions converge, the sum is the limit of an infinite number of Taylor polynomials. A function can diverge from the equation of the Taylor series even if the Taylor series converges.

The third-order Taylor polynomial for f at x=0 is given by:
f(x) = f(0) + f'(0)x + (f''(0)/2)x^2 + (f'''(0)/6)x^3

Substituting the given values, we get:
f(x) = 5 - 3x + 4x^2 + 4x^3

To approximate f(0.4), we plug in x=0.4 into the polynomial:
f(0.4) ≈ 5 - 3(0.4) + 4(0.4)^2 + 4(0.4)^3
≈ 4.4688

Therefore, using the third-order Taylor polynomial, we can approximate f(0.4) to be approximately 4.4688.

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Answer: - 1/3

Step-by-step explanation:

To solve this algebraic expression, you will need to evaluate the equation like this:

13(9x + 3) = 3x + 1

117x + 39 =  3x + 1

117x + 39 - 39 =  3x + 1 - 39

117x = 3x - 38

117x - 3x = 3x - 38 - 3x

114x = -38

 x =  - 1/3

Therefore, the solution to this equation is -1/3. Hope this helps!

Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.

You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram

After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.

Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?

In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

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Answer:

\(\frac{x}{x-1}\)

Step-by-step explanation:

\(\frac{3x^2 - 1}{x^2 - 1} - \frac{2x + 1}{x + 1}\)                                          \([ \ x^ 2- 1 = (x-1)(x + 1) \ ]\)

\(= \frac{3x^2 - 1}{(x-1)(x + 1 )} - \frac{2x + 1}{x + 1}\\\\=\frac{(3x^2 - 1)-(2x + 1)(x-1)}{(x + 1)(x-1)}\)                        \([\ Taking \ LCM \ ]\)

\(= \frac{(3x^2 - 1)- (2x^2 - 2x + x - 1)}{(x+1)(x-1)}\\\\=\frac{3x^2 - 1 - 2x^2 + x + 1 }{(x+1)(x-1)}\\\\=\frac{x^2 +x}{(x+1)(x-1)}\\\\=\frac{x(x+1)}{(x+1)(x-1)}\\\\=\frac{x}{x-1}\)

Finding LCM :

Example :

                 \(\frac{1}{6} + \frac{1}{3}\)

6 = 2  x   3

3 = 1   x   3

                \(\frac{1}{2 \times 3} + \frac{1}{ 3}\) \(= \frac{1}{2 \times 3} + \frac{1 \times 2}{ 3 \times 2}\)  

[ To make the denominators same : the second fraction is multiplied and divided by 2 ]

Similarly :

 \((x^2 - 1 ) = (x -1)(x+1)\\\\(x + 1) = 1 \times (x + 1)\)

Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )

Therefore the second term becomes ,

                                       \(\frac{2x + 1}{x + 1} = \frac{(2x + 1)(x - 1)}{(x + 1)( x - 1)}\)

Answer:

68257

Step-by-step explanation:

Answer:

1943 is the difference between these two numbers

The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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The answer is 25

Sooooo to find the hypotenuse you gotta use this formula: a^2+b^2=c^2.

Both graphs attached

The temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C.

To work out the temperature at the summit of Ben Nevis, we can use the formula:

Temperature at summit = Sea level temperature - (Altitude above sea level / 100) ×Temperature change per 100 metres

We are given that the sea level temperature is 5°C and the height of Ben Nevis is 1300 metres above sea level, and the temperature decreases by 1°C for every 100 metres above sea level.

So, after putting the values into the formula:
Temperature at summit = 5 - (1300/100) × 1 = -15°C

Therefore, the temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C

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Answer:

\(y=\frac{1}{2}x-3\)

Step-by-step explanation:

The equation of a line is y=mx+c, where m is the slope and c is the y-intercept (where the line crosses the y-axis).

Looking at the graph, we can see that the line crosses the y-axis at y=-3, so we know c= -3.

The slope of a line can be found by taking two points on the line, \((x_{1},y_{1})\) and \((x_{2},y_{2})\), and subbing them into the formula \(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\). Let's take the two points (2,-2) and (4:

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{(-1)-(-2)}{4-2}=\frac{1}{2}\)

Therefore, since the equation of a line is y=mx+c, our answer is \(y=\frac{1}{2}x-3\)

Answer:

y=1/2x-3

Step-by-step explanation: given: (0,-3) (2,-2)

y=mx+b

-3=(m*0)+b

-3=b

-2= (m*2)-3

1=2m

m=1/2

y=mx+b

y=1/2x-3

Answer:

Step-by-step explanation:

The last one: 79, 79, 79, 79, 79, 79, 79, 79, 79, 79 because there isn't any difference in the numbers.

S.D.: 0

Answer:

Step-by-step explanation:

d = 102°

e = 56°

f = 22°

The measurement of each of the angle is -

∠e = 56°  

∠d = 102°

∠f = 22°

Given are the intersecting lines as shown in the image.

We can write that -

∠e = 56°                                 {vertically opposite angles}

∠d = 102°                                {vertically opposite angles}

∠f = {180 - (102 + 56)}             {vertically opposite angles}

∠f = 22°

Therefore, the measurement of each of the angle is -

∠e = 56°  

∠d = 102°

∠f = 22°

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Answer:

Restating the question clearly:

Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. How much does he drink in one hour?

Answer:

He drinks  \(5\frac{1}{4}\ liters\\)  in 1 hour

Step-by-step explanation:

\(Rate\ of\ drinking\ =\ 3\frac{1}{2}\ liters\ per\ \frac{2}{3}\ of\ an\ hour\\\)\(\therefore\ 3\frac{1}{2}\ liters\ is\ consumed\ in\ \frac{2}{3} \ hours\\\frac{7}{2} \ liters = \frac{2}{3} \ hours\\cross-multiplying\\7 \times 3\ liters = 2 \times 2\ hours\\21\ liters = 4\ hours\\4\ hours\ = 21\ liters\\\therefore\ for\ 1\ hour\\\frac{4}{4}\ hours = \frac{21}{4}\ liters\\1\ hour = 5.25\ liters\\5.25\ liters = 5\frac{1}{4}\ liters\)

The modeof the data is "Singing".

In statistics, the mode refers to the value or values that appear most frequently in a dataset. It represents the peak of the frequency distribution. In the given data, we have a list of talent show acts, and we are looking for the act(s) that occur most frequently.

To find the mode(s) of the given data, we look for the value(s) that appear most frequently. Let's count the occurrences of each act:

Singing - 7 times

Dancing - 6 times

Comedy - 3 times

Poetry - 2 times

Juggling - 1 time

Magic - 1 time

From the counts, we can see that "Singing" appears the most frequently, occurring 7 times. Therefore, the mode(s) of the data is "Singing".

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Answer:

1

Step-by-step explanation:

Answer:

lcofoufficymxjxyciycfiyixiy

Answer:

Step-by-step explanation:

sorry bes\(gay\\\)tie u on yo own

The coordinates are simple. Hope you understand this and you can draw it out.

Answer:

3x/5 > -6

solution: x > -10

2 < -x/3

solution: x < -6

Step-by-step explanation:

solving 2 inequalities with on missing variable

step 1, problem 1: multiply -6 by 5 on both sides of the equation

ex: 3x/5 * 5 > -6 * 5   (3x > -30)

step 2, problem 1: divide both sides of the equation by 3

ex: 3x/3 > -30/3   (x > -10)

step 1, problem 2: multiply both sides by 3

ex: 2 * 3 < -x/3 * 3   (6 < -x)

step 2, problem 2: change, flip, change (cfc)

ex: change 6 to -6

flip the < symbol to >

last change -x to x

-6 > x

step 3, problem 2: flip the equation

x < -6